A Class of Three-Level Experimental Designs for Response Surface Modeling
Most empirically constructed response surface models are based on polynomials containing terms of order 2 or less. Experimental designs involving three equally spaced levels of each factor are popular choices for collecting data to tit such models. Because complete three-level factorial plans requir...
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| Veröffentlicht in: | Technometrics 2000-05, Vol.42 (2), p.111-121 |
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| creator | Morris, Max D. |
| description | Most empirically constructed response surface models are based on polynomials containing terms of order 2 or less. Experimental designs involving three equally spaced levels of each factor are popular choices for collecting data to tit such models. Because complete three-level factorial plans require more experimental runs than can usually be accommodated in practice, smaller designs are typically used. The families of three-level designs most often used in this context are the Box-Behnken plans and various forms of the central composite designs. This article introduces a different method for constructing composite designs, motivated by notions of sequential experimentation and the minimax and maximin distance criteria used in spatial modeling. Operational and performance characteristics of some designs constructed by the method are compared to those of competing Box-Behnken and central composite plans. |
| doi_str_mv | 10.1080/00401706.2000.10485990 |
| format | Article |
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| source | JSTOR Mathematics & Statistics; Jstor Complete Legacy |
| subjects | Augmented pairs design Box-Behnken design Central composite design Design analysis Exact sciences and technology Experiment design Experimental design Experimentation Factorial design Factorials Mathematics Maximin distance criterion Minimax Minimax distance criterion Modeling Polynomials Probability and statistics Project design Response surface analysis Sciences and techniques of general use Sequential experiment Sequential methods Small composite design Standard error Statistics |
| title | A Class of Three-Level Experimental Designs for Response Surface Modeling |
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